Scholarly record
MAKING THE SOFTWARE PACKAGE FOR ANALYSIS THE STATISTICAL MODELS OF SPACE OBSERVATIONS
Abstract
The object of research is making the statistical modeling software package for analysis space observations. In particular, the potential fields of the planets, the topography and gravitational fields are studded. It should be noted the fields of the terrestrial planets are still poorly understood. In the past decade data requiring precision machining have been accumulated for many planets of the Solar system. The purpose of research is improving the accuracy of the mathematical description and mapping of potential fields for large degrees of the expansion and data volumes on the basis of software package ?Automated Software for Planetophysics Research+? (ASPR+). This software package provides the development of the mathematical models the potential fields of the planets. At the present time to describe the potential fields of the planets (for example, geometric shapes) the expansion in spherical harmonic functions is used. The expansion of altitude function can be represented by polynomials and associated Legendre functions of the arguments ? and ? as a function in the form of series. The work of ASPR+ program can be divided into three stages: a) obtaining of a regression matrix on the basis of points and the degree; b) estimation of the normalized harmonic amplitudes of mathematical model based on regression modeling approach; c) prediction of the relief of the planet over the entire surface or at a certain location on the basis of the model. The previous version program ASPR was limited to 85 order of the expansion which is associated with a hardware storage factorial. Because of the above described disadvantages of package ASPR it has been decided to develop a new version of the program which is analogous to the previous version only on the mathematical algorithm. The new ASPR+ software version is overcoming the limitations in the degree of 85 expansions in spherical harmonics in the modeling of potential fields of the planets which has been achieved by changing the compiler. This allowed to use of extended storage format of real numbers (80-bit extended precision). Also due to transition to an extended storage format of real numbers the accuracy has increased from 15 to 19 decimal digits in the coefficients of models obtained by the program.
Publication Impact Profile
Publication details
References11
Földváry L., Sine series expansion of associated Legendre functions, Acta Geodaetica et Geophysica, vol. 50/ no. 2, pp 243–259, 2015.
Miller J.K., Llanos P.J., Hintz G.R., A new gravity model for navigation close to comets and asteroids, Proceedings of the AIAA/AAS Astrodynamics Specialist Conference, AIAA SPACE Forum, San Diego, CA, United States, code 106917, 2014.
Valeev S.G., Regressionnoe modelirovanie pri obrabotke nablyudeniy, M.: Nauka, 2001, pp 1–296 [in Russian].
Kaula W.M., Theory of Satellite Geodesy: Applications of Satellites to Geodesy, Mineola, New York: Dover Publications, INC., 2000, pp 1–160.
Sagitov M.U., Lunnaya gravimetriya, M.: Nauka, 1979, pp 1–432 [in Russian].
Nefedyev Y., Valeev S., Mikeev R., Varaksina N., Andreev A., Analysis of data of “CLEMENTINE” and “KAGUYA” missions and “ULCN’ and “KSC-1162” catalogues, Advances in Space Research, vol. 50, pp 1564–1569, 2012.
Araki H., Tazawa S., Noda H., Ishihara Y., Goossens S., Sasaki S., Kawano N., Kamiya I., Otake H., Oberst J., Shum C., Lunar global shape and polar topography derived from Kaguya-LALT laser altimetry, Science, vol. 323, pp 897–900, 2009.
Demina, N.Y., Andreev, A.O., Demin, S.A., Nefedyev, Y.A., The method for celestial bodies' center of mass position relative to their figures determination on the basis of harmonic analysis of the expansion in spherical functions in order to refine the physical libration parameters, Journal of Physics: Conference Series, vol. 929, art. no. 012013, 2017.
Andreev, A.O., Demina, N.Y., Demin, S.A., Nefedyev, Y.A., Churkin, K.O., The fractal method for analysis of macro models of the celestial bodies surface, Nonlinear Phenomena in Complex Systems, vol. 19/no. 3, pp 271–277, 2016.
Demin, S.A., Andreev, A.O., Demina, N.Y., Nefedyev, Y.A., The fractal analysis of the gravitational field and topography of the Mars, Journal of Physics: Conference Series, vol. 929, art. no. 012002, 2017.
Nefedyev Y., Andreev A., Demin S., Demina N., Andreeva Z., Fractal analysis of the earth topographic models using multi-parametric harmonic analysis, International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM, vol. 17/ no. 21, pp 913–918, 2017.
View or Download full articleAccess options
SWS access login
Login as SWS Scientific CommitteeLogin as SWS Scientific PartnerLogin as SWS AuthorAuthors and approved SWS contributors will read and export their own linked papers after identity matching by SWS profile, email and SGEM GlobalID.
For librarian assistance: [email protected]
Purchase Instant Access
- Article can be downloaded after successful payment.
- Article may be used according to SWS library access terms.
- Article cannot be redistributed.
